To find the total surface area of the cushion, we need to find the sum of the areas of all six faces.
1. Top face: Length x Width = 14 in x 8 in = 112 sq in
2. Bottom face: Length x Width = 14 in x 8 in = 112 sq in
3. Front face: Length x Height = 14 in x 4 in = 56 sq in
4. Back face: Length x Height = 14 in x 4 in = 56 sq in
5. Left side face: Width x Height = 8 in x 4 in = 32 sq in
6. Right side face: Width x Height = 8 in x 4 in = 32 sq in
Total surface area = 112 sq in + 112 sq in + 56 sq in + 56 sq in + 32 sq in + 32 sq in
= 400 sq in
Therefore, Greg needs 400 square inches of fabric to cover the cushion.
Greg is recovering one of his couch cushions. The cushion is in the shape of a rectangular prism. Greg drew a net of the cushion below.
Note: Figure is not drawn to scale.
If the length of the cushion measures 14 in, the width measures 8 in, and the height measures 4 in, how much fabric does Greg need to cover the cushion?
1 answer
1 answer